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Proof step 49 from proof fits-put-short-02 (previous step)

st[r -- sk] = refval(r0), is_shortvalue(st[r1 -- fs ']), fits(r0, sks0, st), is_valid_ref(str, r, st), is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, ∀ r, st, r1, fs, str, sho. fits(r, sks0, st) ∧ is_shortvalue(st[r1 -- fs ']) → junkref(str, r, st) ∨ fits(r, sks0, st[r1 -- fs ', shortval(sho)]) ⊦ r = jvmref, junkref(str, r, st), fits((st[r1 -- fs ', shortval(sho)][r -- sk]) .refval, sks0, st[r1 -- fs ', shortval(sho)]) ∧ ( is_arraytype((st[r1 -- fs ', shortval(sho)][r -- _type]) .type) → ¬ is_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ (st[r1 -- fs ', shortval(sho)][r -- _length]) .intval ≤ sk .index) ∧ (is_classtype((st[r1 -- fs ', shortval(sho)][r -- _type]) .type) → sk ∈ instfields((st[r1 -- fs ', shortval(sho)][r -- _type]) .type .class)) ∧ is_referencevalue(st[r1 -- fs ', shortval(sho)][r -- sk])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk]) = st[rk] ,[rk, val, rk0, st] → [r -- _type, shortval(sho), r1 -- fs ', st] ,F ,store ,javastore-ostorea ,At-other ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r -- _type, shortval(sho), r1 -- fs ', st)]]